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Higher harmonic resonance of two-dimensional disturbances in Rayleigh-Bénard convection

Published online by Cambridge University Press:  26 April 2006

Jiro Mizushima  and
Kaoru Fujimura
Jiro Mizushima
Affiliation:
Faculty of Education, Wakayama University, Wakayama 640, Japan
Kaoru Fujimura
Affiliation:
Japan Atomic Energy Research Institute, Tokai-mura, Ibaraki 319-11, Japan
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Abstract

A higher harmonic resonance with wavenumber ratio of 1:3 is found to take place in Rayleigh-Bénard convection under rigid-rigid boundary conditions. Bifurcation diagrams for two-dimensional motion are obtained for various values of the Prandtl number P. It is found that a pure mode and mixed mode solutions exist as nonlinear equilibrium states of primary roll solutions for relatively high-Prandtl-number fluids (P ≥ 0.13) while the pure mode, mixed modes, travelling wave and modulated wave solutions exist for relatively low-Prandtl-number fluids (P ≤ 0.12).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 651 - 667
Copyright
© 1992 Cambridge University Press

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